78336199872 has 448 divisors, whose sum is σ = 278260454400. Its totient is φ = 21110906880.

The previous prime is 78336199831. The next prime is 78336199883. The reversal of 78336199872 is 27899163387.

78336199872 is a `hidden beast` number, since 7 + 8 + 3 + 3 + 619 + 9 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×78336199872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64579938 + ... + 64581150.

Almost surely, 2^78336199872 is an apocalyptic number.

78336199872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78336199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130227200).

78336199872 is an abundant number, since it is smaller than the sum of its proper divisors (199924254528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78336199872 is a wasteful number, since it uses less digits than its factorization.

78336199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 78336199872 in words is "seventy-eight billion, three hundred thirty-six million, one hundred ninety-nine thousand, eight hundred seventy-two".